867540 has 48 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 218880.

The previous prime is 867511. The next prime is 867541. The reversal of 867540 is 45768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 867498 and 867507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867541) by changing a digit.

867540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2⁸⁶⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

867540 is an abundant number, since it is smaller than the sum of its proper divisors (1692780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

867540 is a wasteful number, since it uses less digits than its factorization.

867540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 867540 is about 931.4182733874. The cubic root of 867540 is about 95.3739645649.

It can be divided in two parts, 86 and 7540, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 867540 in words is "eight hundred sixty-seven thousand, five hundred forty".